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Finding the Fourth Proportional to 1,053.02, 1,585.66 and 781.04

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Solution

The fourth proportional to 1,053.02, 1,585.66 and 781.04 is: 1,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.02 : 1,585.66 = 781.04 : x
  2. Step 2: Convert to fraction form
    1,053.02/1,585.66 = 781.04/x
  3. Step 3: Cross multiply
    1,053.02x = 1,585.66 × 781.04
  4. Step 4: Simplify right side
    1,053.02x = 1,238,459.98
  5. Step 5: Solve for x
    x = 1,238,459.98/1,053.02
  6. Step 6: Final answer
    x = 1,176.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.